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please help with the questions in the picture. thank you. Figure 19-1 +Q +0 20)

ID: 777193 • Letter: P

Question

please help with the questions in the picture. thank you.

Figure 19-1 +Q +0 20) Three equal charges are at three of the corners of a square of side d. A fourth charge of equal 20)- magnitude is at the center of the square as shown in Figure 19-1. Which of the arrows shown represents the net force acting on the charge at the center of the square? B) B C) C D) D E) none of the above 21) 21) When the distance between the two charges is doubled, the force between them is A) doubled. B) reduced by a factor of 3. C) quadrupled. D) reduced by a factor of 4. E) reduced by a factor ofv2.

Explanation / Answer

20) Given that all charges are positive and equal magnitude. The arrow D shows the force acted by upper left corner charge on the centre charge. The arrow C shows the force acted by lower right corner charge on the centre charge. However, they are equal in magnitude and opposite in direction. Therefore the net sum of these two will be zero.

The arrow B shows the force acted by lower left corner charge on center charge and that is the only force acting.

Therefore the correct option is B) B

21) The force between two charges is inversely proportional to the square of the distance. Therefore if the distance is doubled, the force will be reduced by a factor of 4.

Ans is option D) reduced by a factor of 4